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.