Question

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

Answer 1

Answer:

$x = \frac{1}{2}$

$y = 3$

Step-by-step explanation:

Multiply the bottom equation by -2.

$- 2( - 2x - y = - 2) = - 4x + 2y = 4$

Add the new equation to top equation.

$5y = 15$

$y = 3$

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

$4x + 3(3) = 11$

$4x = 2$

$x = \frac{1}{2}$

Answer 2

Answer:

( $\frac{1}{2}$, 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 = $\frac{1}{2}$

Substitute x = $\frac{1}{2}$ into either of the 2 equations and solve for y

Substituting into (1)

4 ($\frac{1}{2}$ ) + 3y = 11

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

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( $\frac{1}{2}$, 3 )