Given equation is: {(2x-7)/4} = {(x+3)/3}
Concept: Now, here, we are given with an equation that has some constants and two variables that have the same value. We are asked to find the value of the same variable x. We can find the value of those variables by some other concepts useful here. The concept used here is the cross multiplication in which we multiply the numerator of first fraction with the denominator of second fraction and vise versa. While cross multiplying the numbers in fraction, we get two separate equations and then, we can find the value of x by shifting the constants and variables together.
Explanation:
{(2x-7)/4} = {(x+3)/3}
Cross multiply the numbers.
⇛3(2x-7) = 4(x+3)
Multiply the numbers outside of bracket with numbers in bracket.
⇛6x-21 = 4x+12
Shift the constants on RHS and variables on LHS.
⇛6x-4x = 12+21
Subtract the values on LHS and add the number on RHS.
⇛2x = 33
Shift the number 2 from LHS to RHS.
⇛x = 33:2 = 33/2
Answer: Hence, the value of “x” for the give problem is 33/2.
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