Use the elimination method to find the x coordinate of the solution to the system.2x + 3y = 73x - y = 5
Question
Use the elimination method to find the x coordinate of the solution to the system.
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.
Similar Questions
Use the elimination method to find the x coordinate of the solution to the system.2x + 3y = 73x - y = 5
Order the steps below to solve the system for x using the substitution method. y = x - 5x - 7y = -1
Solve the system by substitution.minus, 7, x, minus, 2, y, equals, minus, 38−7x−2y=−38minus, 3, y, equals, x−3y=x
Solve the system by substitution.minus, 2, x, minus, 3, y, equals, 9−2x−3y=9minus, x, equals, y−x=y
Solve the system of equations minus, 2, x, minus, y, equals, minus, 5−2x−y=−5 and 3, x, minus, 4, y, equals, minus, 423x−4y=−42 by combining the equations.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.