Question

Solve the following system using the substitution method. Show all work! 4x+y=14 x-2y=8

Answer 1

Answer:

Step-by-step explanation:

4x+y=14

x-2y=8

then;

x=8-2y

substitute;

4(8-2y)+8-2y=14

32-8y+8-2y=14

40-10y=14

26=10y

y=2.6 , work out 4x+2.6=14 to get x

Answer 2

Answer:

y=-2

x=4

Step-by-step explanation:

add 2y to both sides of equation 2

x-2y=8

x=8+2y

now that we have determined that x equals 2y, we can use it to substitute it in the first equation

4x+y=14

4(8+2y)+y=14

multiply 4 times the numbers in the parentheses

4(8+2y)+y=14

32+8y+y=14

isolate variables by subtracting 32 from both sides

32+8y+y=14

8y+y=-18

combine like terms

8y+y=-18

9y=-18

solve by dividing both sides by 9

9y=-18

y=-2

now that we know that y=-2, lets substitute it to solve for x

4x+y=14

4x-2=14

add 2 to both sides

4x-2=14

4x=16

divide both sides by 4

4x=16

x=4

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