Is (1,9) a solution to this system of equations? y = 3x + 6 y = 7x + 2 Choices: (A)yes (B)no

Substitute and Check First Equation: First, we will substitute the point (1,9) into the first equation and check if it holds true. The first equation is y = 3x + 6. If we substitute x=1 and y=9, we get 9 = 3*1 + 6. Check First Equation Result: After performing the calculation, we find that 9 = 3 + 6, which is true. Therefore, the point (1,9) satisfies the first equation. Substitute and Check Second Equation: Next, we will substitute the point (1,9) into the second equation and check if it holds true. The second equation is y = 7x + 2. If we substitute x=1 and y=9, we get 9 = 7*1 + 2. Check Second Equation Result: After performing the calculation, we find that 9 = 7 + 2, which is also true. Therefore, the point (1,9) satisfies the second equation as well. Verify Solution: Since the point (1,9) satisfies both equations, it is a solution to the system of equations.

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Is $(1,9)$ a solution to this system of equations? $\newline$ $y = 3x + 6$ $\newline$ $y = 7x + 2$ $\newline$ 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

(1,9)

a solution to this system of equations?

\newline

y = 3x + 6

\newline

y = 7x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Check First Equation: First, we will substitute the point $(1,9)$ into the first equation and check if it holds true. The first equation is $y = 3x + 6$ . If we substitute $x=1$ and $y=9$ , we get $9 = 3 \times 1 + 6$ .
Check First Equation Result: After performing the calculation, we find that $9 = 3 + 6$ , which is true. Therefore, the point $(1,9)$ satisfies the first equation.
Substitute and Check Second Equation: Next, we will substitute the point $(1,9)$ into the second equation and check if it holds true. The second equation is $y = 7x + 2$ . If we substitute $x=1$ and $y=9$ , we get $9 = 7\times1 + 2$ .
Check Second Equation Result: After performing the calculation, we find that $9 = 7 + 2$ , which is also true. Therefore, the point $(1,9)$ satisfies the second equation as well.
Verify Solution: Since the point $(1,9)$ satisfies both equations, it is a solution to the system of equations.