Question

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

Answer 1

Answer:

x = $\frac{1}{2}$, y = 4

Step-by-step 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 = $\frac{1}{2}$

Lets calculate the value of x;

$(4)\frac{1}{2} - y= -2\\\frac{4}{2} - y =-2\\ 2 - y=-2$

Subtract 2 from both sides;

-y = -4

Divide both sides by -1

y = 4

Answer 2

X = 1/2 y = 4 by elimination