{:[y=2x+3],[y=4x-3]:} Is (3,9) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substitute and Check First Equation: First, we will substitute the point (3,9) into the first equation and check if it holds true. The first equation is y = 2x + 3. If we substitute x=3 and y=9, we get 9 = 2*3 + 3. Verify First Equation: After performing the calculation, we find that 9 = 6 + 3, which simplifies to 9 = 9. This is true, so the point (3,9) satisfies the first equation. Substitute and Check Second Equation: Next, we will substitute the point (3,9) into the second equation and check if it holds true. The second equation is y = 4x - 3. If we substitute x=3 and y=9, we get 9 = 4*3 - 3. Verify Second Equation: After performing the calculation, we find that 9 = 12 - 3, which simplifies to 9 = 9. This is also true, so the point (3,9) satisfies the second equation as well. Solution Confirmation: Since the point (3,9) satisfies both equations, it is indeed a solution to the system of equations.

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{:[y=2x+3],[y=4x-3]:}
Is
(3,9) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

$y=2 x+3$ $\newline$ $y=4 x-3$ $\newline$ Is $(3,9)$ a solution of the system? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

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Algebra 2

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

Full solution

y=2 x+3

\newline

y=4 x-3

\newline

(3,9)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Substitute and Check First Equation: First, we will substitute the point $(3,9)$ into the first equation and check if it holds true. The first equation is $y = 2x + 3$ . If we substitute $x=3$ and $y=9$ , we get $9 = 2 \times 3 + 3$ .
Verify First Equation: After performing the calculation, we find that $9 = 6 + 3$ , which simplifies to $9 = 9$ . This is true, so the point $(3,9)$ satisfies the first equation.
Substitute and Check Second Equation: Next, we will substitute the point $(3,9)$ into the second equation and check if it holds true. The second equation is $y = 4x - 3$ . If we substitute $x=3$ and $y=9$ , we get $9 = 4 \times 3 - 3$ .
Verify Second Equation: After performing the calculation, we find that $9 = 12 - 3$ , which simplifies to $9 = 9$ . This is also true, so the point $(3,9)$ satisfies the second equation as well.
Solution Confirmation: Since the point $(3,9)$ satisfies both equations, it is indeed a solution to the system of equations.