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What is the solution to this system of linear equations 7x - 2y = -6 and 8x + y = 3?
Solution:
An equation of degree 1 is called a linear equation. The standard form of linear equations in two variables is ax + by = c, where a, b and c are constants.
Let 7x - 2y = -6 be eqn 1 and
8x + y = 3 be eqn 2
⇒ y = 3 - 8x
To solve the system of linear equations we will substitute the value of y = 3 – 8x in eqn 1 and solve for x.
⇒ 7x - 2 (3 - 8x) = -6
⇒ 7x - 6 + 16 x = -6
⇒ 23x = -6 + 6
⇒ x = 0
By substituting the value of x = 0 in y = 3 - 8x, we get
⇒ y = 3 - 8(0)
⇒ y = 3 - 0
⇒ y = 3
We can use Cuemath's online system of equations calculator to solve the equations.
Thus, the solution for the system of linear equations is (x, y) = (0, 3)
What is the solution to this system of linear equations 7x - 2y = -6 and 8x + y = 3?
Summary:
The solution for the system of linear equations 7x - 2y = -6 and 8x + y = 3 is (x, y) = (0, 3)
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