Solve the simultaneous equation
2x+3y=13
4x-y=-2

(1/2, 4)

Step-by-step explanation:

First, multiply the first equation by 2, so the 2x becomes 4x:

4x + 6y = 26

4x - y = -2

Now that we multiplied the first equation by 2, we can subtract the 2 equations to get rid of x and solve for y:

7y = 28

y = 4

Now we know y, we can plug y as 4 into any of our previous equations and solve for x:

4x - 4 = -2

4x = 2

x = 1/2

Therefore, the solution to this system of equations is (1/2, 4).

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get