Answer:
Solving below systems of equations using linear combination method we get
x = -7
y = 5
Step-by-step explanation:
Linear combinations which is also commonly known as the addition method is used for solving the system of equations without graphs
Step 1: arrange the equation in standard form
2x + 3y = 1----------------------(1)
2x + y = -9--------------------(2)
Step 2: Set one of the coefficient to opposite sides
So lets multiply eq(2) with negative sign, so
2x + 3y = 1
-2x - y = 9
Step 3: Perform Addition
2x + 3y = 1
-2x - y = 9
-----------------------
0x +2y = 10
--------------------------
Step 4: Solve for y
2y =10
[tex]y =\frac{10}{2}[/tex]
y = 5
Step 5: Substitute y value in equation(1)
2x + 3(5) = 1
2x + 15 =1
2x = 1-15
2x =-14
[tex]x= \frac{-14}{2}[/tex]
x = -7
