Question

3x-2y=4 4x-y=13 simultaneous equations

Answer 1

`x= -2 , y=5`

Explanation:

`3x + 2y = 44x - y = -13`

Take either of the equations and choose which to make the subject. i shall choose the second equation and make -y the subject of the formula.

`4x - y = -13`

lets take -y to the other side because we want -y to be positive, ie (+y)

`4x = y - 13 ,` take -13 to the other side,

`y= 4x + 13`

now that we have that we take the other equation and substitute what y is into the equation, i.e

`3x + 2( 4x + 13) = 43x + 8x + 26= 411x + 26 = 4`

we take +26 to the other side,

`11x = 4 - 26`

`11x = -22`
`,` divide both sides by 11, x becomes

`x = -2`

now that we know what x is we substitute it into the formula,

`4(-2) - y = -13-8 - y = -13y = -8 + 13y = 5`

Answer 2

To solve the simultaneous equations 3x - 2y = 4 and 4x - y = 13, we can use elimination or substitution. To solve by elimination, we can subtract 3x - 2y from both sides of the first equation, and 4x - y from both sides of the second equation, resulting in -2y = -12 and -y = 9. Then we can add the two equations together which gives us -3y = -3. Dividing both sides by -3 gives us y = 1. We can then substitute this value for y into either of the original equations and solve for x. In this case, if we substitute 1 for y in the first equation, we get 3x - 2(1) = 4, which simplifies to 3x = 6. Dividing both sides by 3 gives us x = 2. Therefore, the solution to the simultaneous equations is x = 2 and y = 1.

Explanation:

see above