Question

PLEASE HELP!I have to turn this into my teacher in 10 minutes 1. Solve the system of equations, y = x – 3 and y = –2x + 6, using the 2. Use the linear combination method to solve the system of equations. –x + 5y = 18 x + 4y = 9 3. Solve this system of equations 3x + 5y = −72 and 2x + 3y = –45 using the linear combination method.

Answer 1

The solution to the system of equation are as follows:

1. x = 3, y = 0

2. x = -3 , y = 3

3. x= -9, y = -9

1.

y = x - 3

y = -2x + 6

multiply equation(i) by 2

Combined equation

2y = 2x - 6

y = -2x + 6

3y = 0

y = 0

x = 0 + 3

x = 3

2.

-x + 5y = 18

x + 4y = 9

9y = 27

y = 27 / 9

y = 3

x + 4(3) = 9

x = -3

3.

3x + 5y = -72

2x + 3y = -45

multiply equation(i) by 2 and equation(ii) by 3

Combined equation

6x + 10y = -144

6x + 9y = -135

y = -9

2x + 3(-9) = -45

2x = -45 + 27

2x = -18

x = -18 / 2

x = -9

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