Question

5. ALGEBRA Refer to the figure in

Answer 1

The value of $x$ that satisfies all the expressions of the system of linear equations is 20.

Procedure - Determination of a variable associated to a pair of corresponding angles

According to the figure, angles 1 and 5 are corresponding angles between two parallel lines, therefore we have the following equivalence:

$4\cdot x + 40 = 120$ (1)

After some algebraic handling we find the value of $x$:

$4\cdot x = 80$

$x = 20$

The value of $x$ that satisfies all the expressions of the system of linear equations is 20. $\blacksquare$

Remarks

There is a missing figure for the statement, we proceed to include it below after some research.

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