The value of x is 6 and the value of the y is 4
What is equation?
"It is a mathematical statement that consists of equal "=" symbol between two algebraic expressions."
What is variable?
- "It is a letter or symbol used in place of an unknown number in equations, algebraic expressions, and formulas."
- "Its value may change with the context of a particular mathematical problem."
For given question,
We have been given two equations.
10x – 9y = 24
y= x – 2
We need to find the value of the variables x and y.
The first equation is,
10x - 9y = 24 .................(i)
And the second equation is,
y= x - 2 ..................(ii)
Substitute above value of y in equation (i).
⇒ 10x - 9(x - 2) = 24
⇒ 10x - 9x + 18 = 24
⇒ x + 18 = 24
⇒ x + 18 - 18 = 24 - 18
⇒ x = 6
Substitute above value of x in equation (ii)
⇒ y = 6 - 2
⇒ y = 4
Therefore, the value of x is 6 and the value of the y is 4
Learn more about equations here:
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