Answer:

2. (-14,-1)

3.(-5,-9)

Step-by-step explanation:

How to Solve a System Using The Substitution Method

Step 1

First, solve one linear equation for y in terms of x

Step 2

Then substitute that expression for y in the other linear equation. You'll get an equation in x

Step 3 Solve this, and you have the x

-coordinate of the intersection.

Step 4

Then plug in x to either equation to find the corresponding y -coordinate.

2.{ -x + 3y = 11

  { 2x + y = -29

Solve the second equation for y:

y = -2x - 29

Substitute -2x - 29 for y in the first equation for x:

-x + 3(-2x - 29) = 11

-x + -6x - 87 = 11

-7x  = 98

x = -14

Substitute -14 for x in y = -2x - 29 for y:

y = -2(-14) - 29 = 28 - 29 = -1

(-14,-1)

3. {-5x + 3y = 10

   { 2x + 5y = -35

y = (-2x/5) - 7

-5x + 3((-2x/5) - 7) = 10

-5x + -6x/5 - 21 = 10

-31x/5 = 31

-31x = 155

x = -5

y = (-2(-5)/5) - 7

y = (-10/5) - 7

y = (-2) - 7

y = -9

(-5,-9)