y=4x-5 y=2x+3 Is (4,11) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substitute and Check First Equation: First, we will substitute the point (4,11) into the first equation and check if it holds true. The first equation is y = 4x - 5. If we substitute x=4 and y=11, we get 11 = 4*4 - 5. Verify First Equation: After performing the calculation, we find that 11 = 16 - 5, which simplifies to 11 = 11. This is true, so the point (4,11) satisfies the first equation. Substitute and Check Second Equation: Next, we will substitute the point (4,11) into the second equation and check if it holds true. The second equation is y = 2x + 3. If we substitute x=4 and y=11, we get 11 = 2*4 + 3. Verify Second Equation: After performing the calculation, we find that 11 = 8 + 3, which simplifies to 11 = 11. This is also true, so the point (4,11) satisfies the second equation as well. Solution Verification: Since the point (4,11) satisfies both equations, it is indeed a solution to the system of equations.

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y=4x-5

y=2x+3
Is
(4,11) a solution of the system?
Choose 1 answer:
(A) Yes
(B)
No

$y=4 x-5$ $\newline$ $y=2 x+3$ $\newline$ Is $(4,11)$ 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=4 x-5

\newline

y=2 x+3

\newline

(4,11)

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 $(4,11)$ into the first equation and check if it holds true. The first equation is $y = 4x - 5$ . If we substitute $x=4$ and $y=11$ , we get $11 = 4 \times 4 - 5$ .
Verify First Equation: After performing the calculation, we find that $11 = 16 - 5$ , which simplifies to $11 = 11$ . This is true, so the point $(4,11)$ satisfies the first equation.
Substitute and Check Second Equation: Next, we will substitute the point $(4,11)$ into the second equation and check if it holds true. The second equation is $y = 2x + 3$ . If we substitute $x=4$ and $y=11$ , we get $11 = 2 \cdot 4 + 3$ .
Verify Second Equation: After performing the calculation, we find that $11 = 8 + 3$ , which simplifies to $11 = 11$ . This is also true, so the point $(4,11)$ satisfies the second equation as well.
Solution Verification: Since the point $(4,11)$ satisfies both equations, it is indeed a solution to the system of equations.