Answer: x= -4 and y= 6
Step-by-step explanation: Firstly, consider the equation y-2x=14 as equation 1, and 2x+5y=22 as equation 2. Therefore, We have two equations and two unknowns.
From the equation 1: y-2x=14; Solving for y We'll get: y=14+2x.
Now, substitute this new equation to the equation 2: 2x+5(14+2x)=22 and solve for x.
2x+70+10x=22 > 12x=-48 > x=-4.
From y=14+2x, substitute the x value we got earlier; y=14+2(-4) > y= 6.
Therefore, x=-4 and y=6.
To check if these values are correct, substitute them to either equation 1 or 2.
(6)-2(-4)=14 › 14=14, you can try also in equation 2 and equality will still be the same.