A coordinate plane with four quadrants shows the x-axis ranging from negative 10 to 10 in increments of 1 and the y-axis ranging from negative 5 to 15 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is y equals x plus 5. The equation of the dotted line is 4 x plus 3 y equals 15. The intersection point of both lines is shown at 0 on the x-axis and positive 5 on the y-axis.
Review the graphs of a system of two linear equations in two variables: 4x+3y=15
and y=x+5
. Find the solution to both equations.
(1 point)
The intersection point is (
).
Remaining Attempts : 3
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1 answer
The intersection point of the two equations \( y = x + 5 \) and \( 4x + 3y = 15 \) is given as (0, 5).
To find the solution to both equations, we'll recognize that the solution to a system of equations is the point where the two lines intersect.
Thus, the intersection point is:
(0, 5)
