Find the point of intersection of the graphs with the function y = 5x-3 and y = 7x-19.
| July 26, 2021 | education
To determine the point of intersection of the straight lines given by the equation, we solve the system of these two equations.
Y = 5 * X – 3.
Y = 7 * X – 19.
Let’s equate the right-hand sides of the equations and find the value of the change X.
5 * X – 3 = 7 * X – 19.
2 * X = 19 – 6 = 16.
X = 16/2 = 8.
Substitute the value of X into any equation of the straight line and determine the value of the variable Y.
Y = 5 * 8 – 3 = 40 – 3 = 37.
The intersection coordinates are (8; 37).
Answer: (8; 37).
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