solve by using elimination

Question

solve by using elimination: 4x+3y=-2 and 3x+2y=-3

Answer 1

4x + 3y = -2

3x + 2y = -3

multiply 1st equation by 2 and 2nd by 3

9x + 6y = -9

8x + 6y = -4 subtract to get

x =-5

3x+2y = -3

2y =-3 +15 = 12

y =6

(x,y) = (-5,6) is the point where the 2 lines intersect, if you graph them

check the answer, plug x=-5 and y=6 into the original equations

4(-5) + 3(6) = -2

-20 + 18 = -2

3(-5) -+2(6) = -3

-15 +12 = -3

Answer 2

Hi Madison C

To solve by Elimination

Equation 1

4x + 3y = -2

Equation 2

3x + 2y = - 3

Decide which variable you want to Eliminate, multiply both equations accordingly to canel out the variable

To eliminate y

Multiply Equation 1 by 2

Multiply Equation 2 by negative 3

8x + 6y = -4

-9x - 6y = 9

Combine the equations

-x = 5

x = -5

Substitute negative 5 into the original Equation 1 to find y

4x + 3y = -2

4(-5) + 3y = -2

-20 + 3y = -2

3y = -2 + 20

3y = 18

y = 18/3

y = 6

Check the values of x and y in both original equations

Equation 1

4x + 3y = -2

4(-5) + 3(6) = -2

-20 + 18 = -2

-2 = -2

Equation 2

3x + 2y = - 3

3(-5) + 2(6) = -3

-15 + 12 = -3

-3 = -3

I hope this helps if you have any questions please send me a message.