The values of a and b are 7 and 2.
<h2>Linear system</h2>
It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
2a + 7b =0 .....1
and 3a - 5b = 31 .....2
<h3>To find </h3>
The solution of a and b.
<h3>How to find the solution of a and b?</h3>
Equation (1) x 5 and equation (2) x 7, we get
10a + 35b = 0 and 21a - 35b = 271
Add the equation, we have
31a = 271
Divide both sides by 31
a = 7
Put value of a in equation 1
2x7 + 7b = 0
Subtract 14 from both sides
2b = -14
divide both sides by 2
b = -2
The values of a and b are 7 and 2.
More about the linear system link is given below.
brainly.com/question/20379472
