Question

What is the solution to this system of equations? Y= 2x - 3.5 x - 2y = -14

Answer 1

Answer:

x = 7, y = 10.5.

Step-by-step explanation:

y = 2x - 3.5

-2y = -x - 14

Multiply the first equation by 2:

2y = 4x - 7  

Now add this equation  to the second one:

0 = 3x - 21

3x = 21

x = 7.

Now substitute x = 7 in the first equation to fund the value of y:

y = 2(7) - 3.5

y = 10.5.

Answer 2

Answer:

x=7

y=10.5

Step-by-step explanation:

1. You can apply the method of substitution, as you can see below:

- Substitute $y=2x-3.5$ into the other equation and solve fo x:

$x-2(2x-3.5)=-14\\x-4x+7=-14\\x=7$

- Substitute the value of x obtain into the first equation, then the value of y is:

$y=2(7)-3.5\\y=10.5$