5x-2y=4;x+8y=26 find the value x+y
Answers
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Solving the given equation by substitution:
Given equation: 5x - 2y = 4, x + 8y = 26.
5x - 2y = 4 --- [1]
x + 8y = 26 --- [2]
Solving and isolating the variable of "x" for the equation 5x - 2y = 4.
Add "2y" to both the given sides.
5x - 2y + 2y = 4 + 2y
Simplify the equation.
5x = 4 + 2y
Divide the equations in both sides by a value of "5" :
Simplify the equation.
Now, substitute the value of "x" into the "second equation".
Multiplying bot the sides by the value of "5".
Refine the equation to it's totality'
4 + 2y + 40y = 130
4 + 42y = 130
Subtracting from value "4" on both the sides.
4 + 42y -4 = 130 -4
Simplify the equation.
42y = 126
Divide the following sides by a value of "42" to cancel out the value in L.H.S and obtain value in R.H.S.
Therefore, simplify the value and get the value of "y".
Now, for finding the value of variable "x", substitute the value of "y = 3".
Multiply the numbers: 2 * 3 = 6 and, Add the numbers 4 + 6 = 10.
Divide the numbers of "10" and "2" = 5.
The following variable values are for this system of equations in this context: