Is (3,7) a solution to this system of equations? x + y = 10 9x + 6y = 6 Choices: (A)yes (B)no

Substitute and Verify: First, we will substitute the point (3,7) into the first equation and check if it holds true. The first equation is x + y = 10. If we substitute x=3 and y=7, we get 3 + 7 = 10. First Equation Check: After performing the calculation, we find that 3 + 7 = 10, which is true. Therefore, the point (3,7) satisfies the first equation. Second Equation Check: Next, we will substitute the point (3,7) into the second equation and check if it holds true. The second equation is 9x + 6y = 6. If we substitute x=3 and y=7, we get 9*3 + 6*7 = 6. Second Equation Result: After performing the calculation, we find that 27 + 42 = 69, which is not equal to 6. Therefore, the point (3,7) does not satisfy the second equation. Not a Solution: Since the point (3,7) does not satisfy both equations, it is not a solution to the system of equations.

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Is $(3,7)$ a solution to this system of equations? $\newline$ $x + y = 10$ $\newline$ $9x + 6y = 6$ $\newline$ 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

(3,7)

a solution to this system of equations?

\newline

x + y = 10

\newline

9x + 6y = 6

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Verify: First, we will substitute the point $(3,7)$ into the first equation and check if it holds true. The first equation is $x + y = 10$ . If we substitute $x=3$ and $y=7$ , we get $3 + 7 = 10$ .
First Equation Check: After performing the calculation, we find that $3 + 7 = 10$ , which is true. Therefore, the point $(3,7)$ satisfies the first equation.
Second Equation Check: Next, we will substitute the point $(3,7)$ into the second equation and check if it holds true. The second equation is $9x + 6y = 6$ . If we substitute $x=3$ and $y=7$ , we get $9\cdot 3 + 6\cdot 7 = 6$ .
Second Equation Result: After performing the calculation, we find that $27 + 42 = 69$ , which is not equal to $6$ . Therefore, the point $(3,7)$ does not satisfy the second equation.
Not a Solution: Since the point $(3,7)$ does not satisfy both equations, it is not a solution to the system of equations.