What is the solution to the system of equations ? y=5x+2 3x=-y+10
1 answer:
Answer:
Solution is (1,7).
Step-by-step explanation:
We need to find the solution of the system of following equations.
y= 5x + 2 eq(1)
3x = -y +10 eq(2)
We will solve the equations using Substitution method to find the values of x and y
we put value of y from eq (1) into eq (2), The eq(2) will be:
3x = - (5x + 2) + 10
3x = -5x -2 +10
3x+5x = -2+10
8x = 8
x= 1
Now, putting value of z in eq(1) to find value of y
y = 5x +2
y = 5(1) + 2
y = 5+2
y = 7
So, Solution is (1,7).
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