Question

Solve these simultaneous equations 2x+3y=13 4x-y=-2

Answer 1

x =
`(1)/(2)`, y = 4

Explanation:

2x + 3y = 13

4x - y = -2

Lets get the equation of the y value;

4x - y = -2

Subtract 4x to both sides;

-y = -4x - 2

Divide both sides by -1

y = 4x + 2

Substitute y in the second equation;

2x + 3y = 13

2x + 3(4x + 2) = 13

Distribute;

2x + 12x + 6 = 13

14x + 6 = 13

Subtract 6 from both sides;

14x = 7

Divide both sides by 14;

x =
`(1)/(2)`

Lets calculate the value of x;

`(4)(1)/(2) - y= -2\\(4)/(2) - y =-2\\ 2 - y=-2\\`

Subtract 2 from both sides;

-y = -4

Divide both sides by -1

y = 4

Answer 2

X = 1/2 y = 4 by elimination