Is (1,7) a solution to this system of equations? y = 5x + 2 y = 7x + 3 Choices: (A)yes (B)no

Substitute and Verify: First, we will substitute the point (1,7) into the first equation and check if it holds true. The first equation is y = 5x + 2. If we substitute x=1 and y=7, we get 7 = 5*1 + 2. First Equation Check: After performing the calculation, we find that 7 = 5 + 2, which simplifies to 7 = 7, which is true. Therefore, the point (1,7) satisfies the first equation. Second Equation Check: Next, we will substitute the point (1,7) into the second equation and check if it holds true. The second equation is y = 7x + 3. If we substitute x=1 and y=7, we get 7 = 7*1 + 3. Solution Verification: After performing the calculation, we find that 7 = 7 + 3, which simplifies to 7 = 10, which is not true. Therefore, the point (1,7) does not satisfy the second equation. Final Conclusion: Since the point (1,7) does not satisfy both equations, it is not a solution to the system of equations.

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Is $(1,7)$ a solution to this system of equations? $\newline$ $y = 5x + 2$ $\newline$ $y = 7x + 3$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 2

Is (x, y) a solution to the system of equations?

Full solution

Q. Is

(1,7)

a solution to this system of equations?

\newline

y = 5x + 2

\newline

y = 7x + 3

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Verify: First, we will substitute the point $(1,7)$ into the first equation and check if it holds true. The first equation is $y = 5x + 2$ . If we substitute $x=1$ and $y=7$ , we get $7 = 5 \times 1 + 2$ .
First Equation Check: After performing the calculation, we find that $7 = 5 + 2$ , which simplifies to $7 = 7$ , which is true. Therefore, the point $(1,7)$ satisfies the first equation.
Second Equation Check: Next, we will substitute the point $(1,7)$ into the second equation and check if it holds true. The second equation is $y = 7x + 3$ . If we substitute $x=1$ and $y=7$ , we get $7 = 7\times1 + 3$ .
Solution Verification: After performing the calculation, we find that $7 = 7 + 3$ , which simplifies to $7 = 10$ , which is not true. Therefore, the point $(1,7)$ does not satisfy the second equation.
Final Conclusion: Since the point $(1,7)$ does not satisfy both equations, it is not a solution to the system of equations.