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)
1 year ago
1 year ago
its wrong
1 year ago
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).
11 months ago
To estimate the solution to the system of linear equations based on the graph, we need to determine the point where the two lines intersect.
Looking at the equations, we have y = 2x + 3 and y = 12x + 6.
To find the intersection point, we can set the two equations equal to each other:
2x + 3 = 12x + 6
Next, we can solve for x.
Move the variable terms to one side:
2x - 12x = 6 - 3
Simplify:
-10x = 3
Now divide both sides by -10 to isolate x:
x = 3 / -10
So x = -3/10
Now, substitute this value back into either of the original equations to find y. Let's use the first equation.
y = 2 * (-3/10) + 3
Simplify:
y = -6/10 + 3
y = -6/10 + 30/10
y = 24/10
Simplify:
y = 12/5
Therefore, the estimated solution to the system of linear equations based on the graph is (approximately) (-3/10, 12/5).
6 months ago