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(5,5)

Step by step explanation:

We have the two equations

-7x + y = -30 and y = 2x - 5

one of the equations "define" y therefore we can plug the value of y into the other equation and solve for x

-7x + y = -30

plug in y = 2x - 5

-7x + 2x - 5 = -30

combine like terms

-5x - 5 = -30

add 5 to both sides

-5x = -25

divide both sides by -5

-5x/-5 = x and -25/-5 = 5

we're left with x = 5

we now plug in the value of x into one of the equations and solve for y

2x - 5 = y

x = 5

2(5) - 5 = y

multiply 2 and 5

10 - 5 = y

subtract

y = 5

the solution is (5,5)

exa:

)

3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.