Estimate the solution to the system of these linear equations based on the graph.y=2x+3 y=12x+6 (1 point)Responses(2,−7) left parenthesis 2 comma negative 7 right parenthesis(7, 2) left parenthesis 7 comma 2 right parenthesis(2, 7)left parenthesis 2 comma 7 right parenthesis(−2, 7)
4 answers
Based on the graph of the system of equations, the estimated solution is (2, -7).
its wrong
Apologies for the previous response. Let's re-evaluate the solution based on the given linear equations.
The first equation is y=2x+3 and the second equation is y=12x+6.
To estimate the solution, we can look at the point where the two lines intersect on the graph.
By setting the two equations equal to each other, we can find the x-coordinate of the intersection point:
2x+3 = 12x+6
Subtract 2x from both sides:
3 = 10x+6
Subtract 6 from both sides:
-3 = 10x
Divide both sides by 10:
x = -3/10
Now that we have the x-coordinate, we can substitute this value back into either equation to find the y-coordinate:
y = 2(-3/10) + 3
y = -6/10 + 3
y = -6/10 + 30/10
y = 24/10
y = 12/5
Therefore, the estimated solution to the system of equations is (-3/10, 12/5).
The first equation is y=2x+3 and the second equation is y=12x+6.
To estimate the solution, we can look at the point where the two lines intersect on the graph.
By setting the two equations equal to each other, we can find the x-coordinate of the intersection point:
2x+3 = 12x+6
Subtract 2x from both sides:
3 = 10x+6
Subtract 6 from both sides:
-3 = 10x
Divide both sides by 10:
x = -3/10
Now that we have the x-coordinate, we can substitute this value back into either equation to find the y-coordinate:
y = 2(-3/10) + 3
y = -6/10 + 3
y = -6/10 + 30/10
y = 24/10
y = 12/5
Therefore, the estimated solution to the system of equations is (-3/10, 12/5).
Estimate the solution to the system of these linear equations based on the graph. y = − x + 6 y = 3 x − 2
1 answer