Answer:
As addition property of equality clearly states that if we add the same number to both sides of an equation, the sides remain equal.
Step-by-step explanation:
[tex]2x + 2y = 14[/tex]
[tex]-x + y = 5[/tex] Add x in both sides (Addition Property of Equality)
[tex]2x + 2y = 14[/tex]
[tex]y = x + 5[/tex] Multiply both sides by 2
[tex]2x + 2y = 14[/tex]
[tex]2y = 2x + 10[/tex] Subtract 2x in both sides
[tex]+\left \{ {{2x + 2y=14} \atop {-2x + 2y=10}} \right.[/tex] ∵adding both equation
[tex]4y = 24[/tex] divide both sides by 4
[tex]y = 6[/tex]
Put the value of y = 6 to the equation [tex]-x + y = 5[/tex]
[tex]-x + 6 = 5[/tex] Subtract 6 from both sides
[tex]-x = -1[/tex] Change the sign
[tex]x = 1[/tex]
Keywords: Addition property of equality, reason, proof
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