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Is (2, 7) a solution to this system of equations? y = 3x + 1 y = 2x + 5 yes or no​

User OneAndOnly
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2 Answers

4 votes

Answer:

No

Explanation:

(x,y)=(2,7) is the solution for y=3x+1, but not for y=2x+5, so (2,7) isn't the solution to the system of equations.

User Piotr Kukielka
by
8.1k points
3 votes

No, (2, 7) is not a solution to the system of equations.

Absolutely, I’ve been improving my problem-solving abilities in systems of linear equations. Let’s find whether (2, 7) is a solution to the system of equations:

y=3x+1

y=2x+5

We can solve the system of equations by rearranging the terms in standard form and then substituting the values of x and y into the equations.

Steps to solve:

1. Rearrange terms in standard form:

y-3x=1

y-2x=5

2. Solve for x:

y-3x=1

x=4

3. Substitute x=4 into the second equation:

y=2(4)+5

y=13

Answer:

y=13

x=4

Therefore, (2, 7) is not a solution to the system of equations.

User Njh
by
8.1k points

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