A system of equations is shown below. y = 5x + 10 y = 10x – 5 What is the value of x + y? A. 25 B. 28 C. 72 D. 75

Respuesta :

Answer:

B. 28

Step-by-step explanation:

We are given the following system of equations

[tex]y=5x+10\\y=10x-5[/tex]

We can substitute in one of the equations for y. This will give us an equation that we can solve for x.

[tex]5x+10=10x-5\\\\5x=15\\\\x=3[/tex]

Next we can substitute in our value for x in order to find the y value.

[tex]y=5(3)+20\\\\y=15+20\\\\y=25[/tex]

Now we can check with the other equation to see if our x and y values are correct

[tex]25=10(3)-5\\\\25=30-5\\\\25=25[/tex]

Now we are certain that x=3 and y=25

[tex]x+y=?\\\\3+25=28[/tex]