The correct option is A. (4, 11) and (0, 7).
The solution of the equations y = x + 7 and y = x² – 3x + 7, the solutions are located at points: (4, 11) and (0, 7).
<h3>What is the system of linear equation?</h3>
Estimate the y-intercept, slope, and express the equation in the form of the y-intercept (y = mx + b) to find the graphed equation. The slope is the difference between the y- and x-axis values.
A graph equation is an equation in graph theory where the unknown is a graph. Isomorphic ideas are one of the key issues in graph theory.
The equations are; y = x + 7 and y = x² - 3x + 7
At the solution, the u-values are equal, which gives;
y = y
x + 7 = x² - 3·x + 7
x² - 3·x + 7 - (x + 7) = 0
x² - 4·x = 0
x·(x - 4) = 0
x = 4, or x = 0
When x = 4, y = 4 + 7 = 11
When x = 0,
y = 0 + 7 = 7
Therefore, the solution for the equations y = x + 7 and y = x² - 3x + 7 are are located at points: (4, 11) and (0, 7).
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The complete question is-
Based on the graphs of the equations y = x + 7 and y = x² – 3x + 7, the solutions are located at points:
A. (4, 11) and (0, 7)
B. (4, 11) and (–7, 0)
C. (–7, 0) and (1.5, 4.75)
D. (1.5, 4.75) and (0, 7)
