Question

Solve the simultaneous equation

2x-3y =-8 and x+3y=14
Use both elimination and substitution methods​

Answer 1

X=2, y=4

Explanation:

Elimination method:

2x-3y=-8 equation 1

x+3y=14 equation 2

3x+0=6 add above 2 equations

3x=6

x=2

solve for y by substituting x in either equation

x+3y=14

2+3y=14

3y=12

y=4

Substitution method:

2x-3y=-8 equation 1

x+3y=14 equation 2

x=14-3y isolate x in equation 2

2(14-3y)-3y=-8 substitute value of x from equation 2 into equation 1

28-6y-3y=-8

-9y=-36

y=4

solve for x by substituting value of y into either equation

2x-3y=-8

2x-3(4)=-8

2x-12=-8

2x=4

x=2

Answer 2

Step 1: Add 3y to both sides.

2x−3y+3y=−8+3y

2x=3y−8

Step 2: Divide both sides by 2.

2x

2

=

3y−8

2

x=

3

2

y−4

Answer:

x= 3/2 y -4

x+3y=14

x+3y=14

Step 1: Add -3y to both sides.

x+3y+−3y=14+−3y

x=−3y+14

Answer:

x=−3y+14

Explanation: