Question

Solving systems of equations using substitution y = 5x + 17. y= -2x -4

Answer 1

To solve the system of equations using substitution method, solve one equation for one variable and substitute that expression into the other equation. The solution to the system of equations y = 5x + 17 and y = -2x -4 is x = -3 and y = 2.

Step-by-step explanation:

To solve the system of equations using substitution method, we can solve one equation for one variable and substitute that expression into the other equation. Let's solve the first equation for y:

y = 5x + 17

Now substitute this value of y into the second equation:

5x + 17 = -2x -4

Combine like terms:

7x = -21

Divide both sides by 7:

x = -3

Now substitute this value of x back into one of the original equations to find y:

y = 5(-3) + 17

y = -15 + 17

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2.

Answer 2

(-3,2)

Step-by-step explanation:

Eliminate the equal sides of each equation and combine

5x + 17 = -2x - 4

Solve

x = -3

Evaluate y when x = − 3 .

y = 2

(-3,2)

hope this helps :)