Question

Steps to perform perform to the system of equations below so that the equations have equal x - coefficients: 4x+2y = 4 and 12x + y = 22

Answer 1

$\bold{[ \ Answer \ ]}$

$\boxed{\bold{Y \ = \ -2, \ X \ = \ 2}}$

$\bold{[ \ Explanation \ ]}$

• $\bold{System \ Of \ Equations: \ \left \{ {{4x \ + \ 2y \ = \ 4} \atop {12x \ + \ y \ = \ 22}} \right. }$

$\bold{----------------------}$

• $\bold{Isolate \ x \ for \ 4x+2y=4: \ x=\frac{2-y}{2}}$

$\bold{For \ x \ = \ \frac{2-y}{2}}$

$\bold{Substitute \ y \ = \ -2}$

$\bold{x=\frac{2-\left(-2\right)}{2}}$

• $\bold{Simplify}$

$\bold{\frac{2-\left(-2\right)}{2} \ = \ 2}$

• $\bold{Solutions}$

$\bold{Y \ = \ -2, \ X \ = \ 2}$

$\boxed{\bold{[] \ Eclipsed \ []}}$

Answer 2

4x + 2y =4 (1)
12x + y =22 x2 -> 24x + 2y= 44 (2)
2
(2) - (1) => 20x = 40
x=2