The solution to the given system of equations is (2, 1).
What is a linear equation?
"A linear equation is an equation in which the highest power of the variable is always 1."
Given system of equations are:
[tex]y = - 3 x + 5\\y = 4x - 2[/tex]
From the given system of equations, we can write:
[tex]- 3 x + 5 = 4x - 2[/tex]
⇒ [tex]4x + 3x = 5 + 2[/tex]
⇒ [tex]7x = 7[/tex]
⇒ [tex]x = 1[/tex]
Therefore, [tex]y = 4(1) - 2 = 4 - 2 = 2[/tex]
The required solution is (1, 2).
Learn more about a linear equation here: https://brainly.com/question/17121746
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