By solving the equation using linear combination method,
solution is x =1.4 and y =-3.6
What is linear combination method?
"There are two ways to solve systems of equations without graphing. You can use the substitution method or linear combinations (which is also commonly known as the addition method)."
Steps for Using Linear Combinations (Addition Method)
1. Arrange the equations with like terms in columns.
2. Analyze the coefficients of x or y. Multiply one or both equations by an appropriate number to obtain new coefficients that are opposites
3. Add the equations and solve for the remaining variable.
4. Substitute the value into either equation and solve.
5. Check the solution.
Given system of equations
–9.5x – 2.5y = –4.3 ....................(1)
7x + 2.5y = 0.8...............................(2)
Step 1 : Add the two equations together and solve for x
–9.5x – 2.5y + 7x + 2.5y = –4.3 + 0.8
⇒ -2.5x = -3.5
⇒ x = [tex]\frac{-3.5}{-2.5}[/tex]
⇒ x = 1.4
Step 2 : Substitute x = 1.4 into the first equation and solve for y
-9.5 (1.4) - 2.5y = -4.3
-13.3 - 2.5y = -4.3
-2.5y = -4.3 + 13.3
-2.5y = 9
y = [tex]\frac{-9}{2.5}[/tex]
y = -3.6
Hence, solution is x = 1.4 and y = -3.6
Learn more about linear combination method here
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