Question

Solve the system of equations. 4x + y = 2 x - y=3

Answer 1

Answer:

x = 1

y = -2

Explanation:

$\bold{\begin{bmatrix}4x+y=2\\ x-y=3\end{bmatrix}}$

• Isolate x for 4x + y = 2: x = 2 - y / 4

• Substitute x = 2 - y / 4

2 - y / 4 - y = 3

• Simplify

2 - 5y / 4 = 3

• Isolate y for 2 - 5y / 4 = 3: y = -2

• For x = 2 - y / 4 substitute y = -2

x = 2 - (-2) / 4

2 - (-2) / 4 = 1

x = 1

• x = 1, y = -2