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
Ierofanga [76]
3 years ago
10

Solve the system of equations for x and y. y = x + 5 y = 2x + 2

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
You might be interested in
3.
Jobisdone [24]

Answer:

B and D

Step-by-step explanation:

B because if you dont and it is a real cop you would get an even bigger fine. D because you never know.

4 0
3 years ago
What is the slope of a line parallel to the line whose equation is3x−4y=8?
xxTIMURxx [149]

The slope of the parallel line is 3/4

<h3>How to determine the slope?</h3>

The equation is given as:

3x - 4y = 8

Rewrite as:

4y = 3x - 8

Divide through by 4

y = 3x/4 -  2

A linear equation is represented as:

y = mx + b

Where m represents the slope

By comparison:

m = 3/4

Parallel lines have equal slope

Hence, the slope of the parallel line is 3/4

Read more about slope at:

brainly.com/question/3493733

#SPJ1

7 0
2 years ago
I need working out and answers for the following:
LenaWriter [7]
A. 4x - 3 = 2x + 7
4x - 2x = 7 + 3
2x = 10
x = 5

B. 2x + 6 = 7x - 14
2x - 7x = - 14 - 6
-5x = -20
x = 4

C. 2( x + 3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
x = -10

D.4 ( 5x - 2) = 2( 9x + 3)
20x - 8 = 18x + 6
20x - 18x = 6 + 8
2x = 14
x = 7

E.4x - 1/2 = x - 7
4x - x = -7 + 1/2
3x = (-14 + 1)/2
3x = -13/2
x = -13/6

F. 3x + 2 = 2x + 13/3
3x - 2x = 13/3 - 2
x = (13 - 6)/3
x = 7/3


Hope This Helps You!
4 0
3 years ago
To find the product of a 2 digit number and 1 digit number, you can multiply the tens, multiply the ones, and find the sum of ea
NARA [144]
Of each ones place.... Or ... The sum of each number? Just trying to help.....
8 0
3 years ago
C an you simplify 5^-8 x 5^4
EastWind [94]

Answer:

1/625

Step-by-step explanation:

Exponent Rule: (b^m)(b^n) = b^{m+n}

Exponent Rule: b^{-m}=\frac{1}{b^m}

5⁻⁸ · 5⁴ = -8 + 4 = -4

5⁻⁴

1/5⁴

1/625

6 0
4 years ago
Other questions:
  • What is the length of a diagonal of a rectangular picture whose sides are 15 inches by 17 inches? Round to the nearest tenth of
    9·1 answer
  • The school talent she is 90 minutes long. The average rate of the show is about 10 acts every 30 minutes. At this rate, how many
    12·1 answer
  • Pyramids and cones (finding surface area). Please help!
    15·1 answer
  • G(n-7) if g(x) =x^2-5/3x
    14·1 answer
  • Leila went to see a baseball game. The game started at 11:39AM and ended at 3:15 PM. How long was the game?
    8·2 answers
  • A typical Yorkshire terrier weighs 1/6 times as many pounds as a Dalmatian. A Dalmatian weighs 54 pounds. How much does the typi
    12·1 answer
  • In macroeconomics, the economy can best be understood through the use of
    13·1 answer
  • Please help meeeee pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee and thankyouuuuuuuuuuuuuuuu
    8·1 answer
  • 07
    15·1 answer
  • Write the expanded form of the expression <br> y(0.25 +6)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!