Question

Shannon graphed the system of equations:

7x−4y=−8
y=2x−3
​
Which of the following points is the solution to the system?

a) (2, -1)

b) (-1, 2)

c) (0, 3)

d) (1, 1)

Answer 1

The solution to the system of equations is (20, 37).

Step-by-step explanation:

To find the solution to the system of equations, we need to solve the equations simultaneously.

Given the system of equations:

7x - 4y = -8

y = 2x - 3

Substituting the value of y from the second equation into the first equation:

7x - 4(2x - 3) = -8

7x - 8x + 12 = -8

-x + 12 = -8

-x = -20

x = 20

Substituting the value of x into the second equation:

y = 2(20) - 3

y = 40 - 3

y = 37

The solution to the system of equations is (20, 37).