The solution of the first set of equations is x = 15 and y = 5 and the second is x = 14.25 and y = 7.75.
<h3>What is the equation?</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation.
a)
As per the given first system of equation,
2x - 4y = 10
x + 5y = 40 → 2x + 10y = 80
Subtract both
10y + 4y = 80 - 10
14y = 70
y = 5
And, x = 40 - 5(5) = 15
b)
As per the given first system of equation,
3x - 5y = 4 and
-2x + 6y = 18 → -x + 3y = 9 → -3x + 9y = 27
Add both
-5y + 9y = 4 + 27
4y = 31
y = 7.75
x = (4 + 5(7.75))/3 = 14.25
Hence "The solution of the first set of equations is x = 15 and y = 5 and the second is x = 14.25 and y = 7.75".
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