Use the elimination method to find the x coordinate of the solution to the system.2x + 3y = 73x - y = 5
Question
Solution
Sure, here are the steps to solve the system of equations using the elimination method:
Step 1: Align the equations:
2x + 3y = 7 3x - y = 5
Step 2: Multiply the equations by necessary multiples such that the coefficients of y's in both equations will cancel each other out when subtracted. In this case, multiply the first equation by 1 and the second equation by 3:
2x + 3y = 7 9x - 3y = 15
Step 3: Add the two equations together:
(2x + 9x) + (3y - 3y) = 7 + 15 11x = 22
Step 4: Solve for x:
x = 22 / 11 x = 2
So, the x-coordinate of the solution to the system is 2.
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