The cost of a shirt is $20 and the cost of pair of a jeans is $40.
Given that, five shirts and 3 pairs of jeans cost $220. Six shirts and 2 pairs of jeans cost $200.
We need to find the cost of one shirt and the cost of pair of jeans.
What is a linear equation?
A linear equation is an equation in which the highest power of the variable is always 1.
A linear equation in two variables is of the form Ax + By + C = 0, in which A, B, and C are real numbers and x and y are the two variables, each with a degree of 1. If we consider two such linear equations, they are called simultaneous linear equations.
Let the cost of a shirt be x and the cost of pair of jeans be y.
Now, five shirts and 3 pairs of jeans cost $220.
That is, 5x+3y=220------(1)
Six shirts and 2 pairs of jeans cost $200.
6x+2y=200------(2)
Multiplying the equation (1) with 2, we get 10x+6y=440------(3)
Multiplying the equation (2) with 3, we get 18x+6y=600------(4)
Now, equation (4)-(3) is 8x=160
⇒x=$20
Substitute x=20 in equation (1), we get 5(20)+3y=220
⇒y=$40
Therefore, the cost of a shirt is $20 and the cost of pair of a jeans is $40.
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