Question

Solve the system by substitution y=5x y=-x+30

Answer 1

The solution to the system of equations y = 5x and y = -x + 30 is x = 5 and y = 25. This is found by setting the two equations equal to each other and solving for x, then substituting back to find y.

Step-by-step explanation:

To solve the system by substitution, we first look at the two given equations:

• y = 5x
• y = -x + 30

Since we have y expressed in terms of x in both equations, we can set them equal to each other to find the value for x:

5x = -x + 30

By combining like terms, we get:

6x = 30

Divide both sides by 6:

x = 5

Now, we substitute x = 5 back into either equation to find y:

y = 5*x

y = 25

Therefore, the solution to the system of equations is x = 5 and y = 25.

Answer 2

Step-by-step explanation:

y = 5x

y = x + 30

Substitute y = 5x in second equation:

5x = x+ 30

4x = 30

x = 7.5.

and y = 5*7.5 = 37.5.