Question

Solve this system of equations ;
3/4x+ 1/2y = -3/4
2/3x + 2/3y = 2/3

Answer 1

Get rid of the fractions. Muliply both sides of the first equation by 4 and do the same to the second equation using 3.

Answer 2

hmmm.

Answer 3

\[4\left(\frac{3 x}{4}+\frac{y}{2}\right)=-\frac{3}{4}*4\text{ }\to \text{ }3 x+2 y=-3\]\[3\left(\frac{2 x}{3}+\frac{2 y}{3}\right)=\frac{2}{3}*3\text{ }\to \text{ }2x+2y=2\]

Answer 4

so , is that the answer ?

Answer 5

Once the fractions are gone, then you have two equations in two unknowns, x and y.
{x = -5, y = 6}
Can you solve the equations?

Answer 6

Yes , Thanks.

Answer 7

You can verify the values of x and y by plugging them into the original equations with the fractions.

Answer 8

Thank you for the medal.