−4x + 3y =7
5x − 2y =35
What is the solution?
2 answers:
Answer:
(17,25)
Step-by-step explanation:
To find the solution to the system, solve with elimination.
Equation 1.
−4x + 3y =7
Equation 2.
5x − 2y =35
To cancel out the y-variable, multiply the first equation by 2, and the second equation by 3.
2(−4x + 3y =7)
-8x+6y=14
3(5x − 2y =35)
15x-6y=105
Combine both equations.
-8x+6y=14
15x-6y=105
7x=119
x= 17
Plug in x into the first equation to solve for y.
-8x+6y=14
-8(17)+6y=14
-136+6y=14
6y=150
y=25
Answer: x = 39/10 y = 29/5
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