1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IRINA_888 [86]
3 years ago
12

What is the solution to the system of equations? Use the substitution method. {y=−2x+5 3x−4y=2

Mathematics
2 answers:
GaryK [48]3 years ago
5 0
We have that
<span>y=−2x+5 --------> equation 1
3x−4y=2---------> equation 2
</span><span>substituting 1 in 2
</span>3x-4*(-2x+5)=2--------> 3x+8x-20=2--------> 11x=22-----> x=2
y=-2x+5-----> -2*2+5-----> y=1

the solution is
x=2
y=1
dimulka [17.4K]3 years ago
3 0
LINEAR \: \: EQUATIONS \: \: IN \: \: TWO \: \: \\ VARIABLES \\ \\ \\\\Given \: \: - \\ \\ y \: = - 2x + 5 \: \: \: - - - eq.(1) \\ \\ \: 3x - 4y = 2 \: \: \: \: - - - eq.(2) \\ \\ Using \: \: substitution \: \: method \: , \: \\ Putting \: \: \: eq.(1) \: \: in \: \: eq.(2) \\ \\ 3x - 4 \: ( - 2x + 5) = 2 \\ \\ 3x + 8x - 20 = 2 \\ \\ 11x \: - 20 \: \: = \: \: 2 \\ \\ 11x \: \: = \: \: 22 \: \: \\ \\ x \: \: = \: \: \frac{22}{11} \: \: = \: \: 2 \: \: \: - - - eq.(3) \\ \\ Putting \: \: eq.(3) \: \: in \: \: eq.(1) \: \\ \\ We \: get \: \: - \\ \\ y = - 2(2) + 5 = 5 - 4 = 1 \\ \\ \\ Hence \: \\ \\ \: || \: \: x = 2 \: \: || \: \: \: \: and \: \: \: || \: \: y = 1 \: \: || \: \: \: \: \: \: \: \: Ans.
You might be interested in
Graph the functions f(x)=−6x+2 and g(x)=−2x+2+6 on the same coordinate plane.
mr Goodwill [35]

Answer:

here

Step-by-step explanation:

3 0
3 years ago
What does the Principle of Superposition tell us about relative ages of the strata in the cross-sections you were looking at? Ol
iogann1982 [59]

Answer:

1. The Principle of superposition states that a strata of rock is younger than the one over which it is laid.

2. The intrusion of the younger rock by the principle of cross-cutting relationship

3. The intrusion igneous rock arrived after the rock it is found in had already been in place and is stable.

Step-by-step explanation:

In geology, the Principle of superposition states that, in its originally laid down state, a strata sequence consists of older rocks over which younger rocks are laid. That is, a stratum of rock is younger than the stratum upon which it rests.

The principle of cross cutting relationships in a geologic intrusion occurrence, the feature which intrudes or cut across another feature is always than the feature it cuts across.

The reason is that based on the geologic time frame, the rock 1 which ws cut across by rock 2 was already in the geologic zone in a more steady state than rock , therefore it is older than the cutting rock 2.

6 0
3 years ago
Help please I might have a quiz soon!
Thepotemich [5.8K]

Answer:

We are given that the two triangles are approximately equal or similar thus

angle M=angle Z = 124

angle L = angle X = 33

angle N= angle Y  = ?

The total angles is 180, thus angle N or Y is 180- (124+33) = 23

5 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth.<br> 6<br> 14
Romashka-Z-Leto [24]

Answer:

≈ 12.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the third side, then

x² + 6² = 14²

x² + 36 = 196 ( subtract 36 from both sides )

x² = 160 ( take the square root of both sides )

x = \sqrt{160} ≈ 12.6 ( to the nearest tenth )

8 0
3 years ago
Function g is a transformation of the parent exponential function. Which statements are true about function g?
Elan Coil [88]

Answer:

function g is positive over (-∞, ∞)

function g has a y-intercept of (0,4)

function g decreasing over the interval (-∞, 0)

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • A cell phone company charges a flat rate of
    14·1 answer
  • ✓-64<br> What is the square root of negative 64
    7·2 answers
  • During the breaststroke competitions of a recent olympics,Nelson diebel swam 100 meters in 62 seconds,and Mike bower man swam 20
    5·1 answer
  • Hi can someone help me with this?
    13·1 answer
  • Please help solve quickly
    15·2 answers
  • What is it in standard form
    10·2 answers
  • 12 Kendrick wants to build a slide for his son in the backyard. He buys a
    6·1 answer
  • John want to buy a pair of boots that originally cost $85.99 He found a coupon for %30 off what will he pay for the boots?
    7·2 answers
  • Write 28.63 in expanded notation and word form.
    12·1 answer
  • Help me. I need help please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!