Question

Solve the system of equations {2x+y=−1.5, y=3.5x+15. What is the solution to the system? Enter your answer as an ordered pair, like this: (42, 53)

Answer 1

Hi!! let’s start by solving the second equation for y:

y = 3.5x + 15

Now we can substitute this value of y into the first equation:

2x + (3.5x + 15) = -1.5

Combine like terms:

5.5x + 15 = -1.5

Subtract 15 from both sides:

5.5x = -16.5

Divide both sides by 5.5:

x = -3

Now substitute this value of x back into the second equation to solve for y:

y = 3.5(-3) + 15
y = -10.5 + 15
y = 4.5

Therefore, the solution to the system of equations is (-3, 4.5).