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y-2x=14 2x+5y=22 find the answer to the simultneous equation

Sagot :

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.