Respuesta :
Answer:
(4,4)
Step-by-step explanation:
The intersection point of 10y-11x=-4 and -2y+3x=4 is (4,4) on a graph.
As per linear equation, the solution of the given system of equations is x = 4, y = 4.
What is a linear equation?
"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.
The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
Given system of linear equation is:
10y - 11x = - 4 ......(1)
- 2y + 3x = 4 ......(2)
Multiplying the equation (1) by 1 and Multiplying the equation (2) by 5 and then add both equations, we get:
10y - 11x = - 4
+ (- 10y) + 15x = 20
-------------------------
4x = 16
⇒ x = 4
Now, substituting the value of 'x' in the equation (2), we get:
- 2y + 3(4) = 4
⇒ - 2y + 12 = 4
⇒ - 2y = 4 - 12
⇒ - 2y = - 8
⇒ y = 4
Therefore, the solution of the given system of equations is x = 4, y = 4.
Learn more about a linear equation here: https://brainly.com/question/11897796
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