Solve the simultaneous equations
4x+3y=11
2x-y=-2

Step-by-step explanation:

Multiply the bottom equation by -2.

Add the new equation to top equation.

Know plug 3 in one of the equations to find x.

( , 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

x =

Substitute x = into either of the 2 equations and solve for y

Substituting into (1)

4 ( ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( , 3 )