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
sweet-ann [11.9K]
3 years ago
13

5x+y=-10 4x-7y=-8 Substition Method (Show it step by step please!)

Mathematics
2 answers:
777dan777 [17]3 years ago
6 0

Answer:

x = -2, y = 0

Step-by-step explanation:

This is a systems of equations. Using substitution, we solve for a single variable, plug it in to solve for the other, and solve that one back in to solve for the original. Let's solve it.


5x + y = -10

Subtract 5x from both sides.

y = -5x - 10

Now that we have y isolated, we can plug it in to the other equation.

4x - 7(-5x-10) = -8

Distribute.

4x + 35x + 70 = -8

Subtract 70 from both sides and simplify.

39x = -78

Divide both sides by 39.

x = -2


Now that we have x as -2, we plug it in to the original.


5(-2) + y = -10

Simplify.

-10 + y = -10

Add 10 to both sides.

y = 0


x = -2, y = 0

Fynjy0 [20]3 years ago
3 0

\left\{\begin{array}{ccc}5x+y=-10&|\text{subtract 5x from both sides}\\4x-7y=-8\end{array}\right\\\left\{\begin{array}{ccc}y=-5x-10&|\text{substitute to the second equation}\\4x-7y=-8\end{array}\right\\\\4x-7(-5x-10)=-8\qquad\text{use distributive property}\\\\4x+(-7)(-5x)+(-7)(-10)=-8\\\\4x+35x+70=-8\qquad\text{subtract 70 from both sides}\\\\39x=-78\qquad\text{divide both sides by 39}\\\\\boxed{x=-2}\\\\\text{Put the value of x to the first equation}\\\\y=-5(-2)-10\\\\y=10-10\\\\\boxed{y=0}

Answer:\ \boxed{x=-2\ and\ y=0}

You might be interested in
P and q are points on the line y=2-4X <br><br>Draw the line y= 2-4X for vales of x from -2 to 2
pishuonlain [190]

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

8 0
2 years ago
How much is left after 24,815.00 in taxes is deducted from an annual salary of 83,500.00
Debora [2.8K]

$58,685 would be the amount left over.

6 0
3 years ago
I need help please I don’t get it
Aliun [14]

Answer: left 9 and up 6

Step-by-step explanation:

just if it’s in the bars it’s left if + and on the outside its up if +

3 0
3 years ago
Can you plz help i don't understand
iris [78.8K]
The difference is 160
c. 200%
5 0
3 years ago
Solve h(x) = 5 - 9x Find h(8)
Alex_Xolod [135]

h(x) = 5 - 9x

h(8) = 5 - 9×8 ( putting value x = 8)

h(8) = 5 - 72

h(8) = -67

Answer is -67.

4 0
3 years ago
Read 2 more answers
Other questions:
  • I need help please!!!!
    7·1 answer
  • The sum of three numbers is 64. The second number is 3 more than the first. The third number is 11 less than twice the first. Fi
    14·1 answer
  • Marisol is trying to decide which job to take. She is offered three jobs. The store manager has a salary of $32,500. The
    12·1 answer
  • Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.59.
    9·1 answer
  • A 1400 kg car moving +13.7 m/s makes an elastic collision with a 3200 kg truck, initially at rest. What is the velocity of the c
    10·1 answer
  • On April 3rd nears flag company borrowed 10,000 dollars to pay for start up costs the loan had a simple interest rate of 6.25 pe
    14·1 answer
  • Which is the percent for 1.67
    5·1 answer
  • Tell answer
    10·1 answer
  • Need help with finals
    9·2 answers
  • Snap handouts? I'll give mine to ppl 14-16
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!