Question

The graphs of the equations Ax + By =15 and Ax - By =9 intersect at (2, 1). Find A and B. Show or explain your reasoning

Answer 1

Hi here’s the answers hope this helps

Answer 2

The value of A and B will be 6 and 3 respectively

What is Linear equation with two variables?

• If an equation is stated in the form ax + by + c=0, it is said to be a linear equation in two variables, where a, b, and c are real numbers and the coefficients of x and y, i.e. a and b, are real values.
• Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-intercept

How to solve this problem?

The steps are as follow:

• Given equations

Ax +By = 15

Ax - By = 9

• Given that both lines intersect at point (2,1), so both above equation can be written as:

2A + B = 15

2A - B = 9

• Solving the above equation by adding both of them we get:

4A = 24

A = 6

• Putting value of A in one of equation we will get:

2A + B = 15

2(6) + B = 15

B = 3

So the value of A and B will be 6 and 3 respectively

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