Question

Solve the systems of equations using substitution. 2x+3y=-8 ,x=4y+7

Answer 1

Answer:

(-1, -2)

Step-by-step explanation:

Since the question requires the use of substitution, that's how I will go about this.

Logically, since we know what x equals, with respect to y, we can plug that into the other equation for x, making our equation only have y, therefore, we can solve for one variable at a time, and then use that y value to solve for x

2x + 3y = -8

In this case we are told that x = 4y + 7, therefore that's what we substitute in.

2(4y + 7) + 3y = -8

8y + 14 + 3y = -8

11y +14 = -8

11y = -22

y = -2

Now, since we know y's exact value, we can use that and solve for x in the other equation.

x = 4(-2) + 7

x = -8 + 7

x = -1

Therefore, your final answer is

(-1, -2)