Question

Solve the simultaneous equation: 2x - y= 2 3y= 4x - 5

Answer 1

Answer:

x = $\frac{1}{2}$ , y = $-1$

Explanation:

2x - y= 2

3y= 4x - 5

Make y the subject:

2x - y= 2

-y = 2 - 2x

y = 2x - 2  .........equation 1

3y= 4x - 5

y = (4x - 5)/3 ........equation 2

From equation 1 and 2 solve them simultaneously:

→ (4x - 5)/3 =  2x - 2

→ 4x - 5=  3(2x - 2)

→ 4x - 5 = 6x - 6

→ 6x - 4x = -5 + 6

→ 2x = 1

→ x = 1/2

• if x is 1/2, then y: 2x - 2

                              →  2(1/2)-2

                              →  -1