Question 80731
Since we have an equation in y form, we can use substitution


Substitute {{{2x-3}}} into y of {{{x + 2y = 14}}}


{{{x + 2*highlight((2x-3)) = 14}}} Plug in 2x-3 into y


{{{x + 2(2x-3) = 14}}}


{{{x + 2*2x-2*3 = 14}}} Distribute


{{{x + 4x-6 = 14}}} Multiply


{{{x + 4x= 20}}} Add 6 to both sides


{{{5x= 20}}} Combine like terms


{{{x=4}}} Divide both sides by 5


Now plug in x=4 to find y

{{{y=2(4)-3}}} Plug in x=4


{{{y=8-3}}} Multiply


{{{y=5}}} Combine like terms

So our solution is:

(4,5)


Check:
{{{5 = 2(4) - 3}}}

{{{5=5}}} works

{{{4 + 2*5 = 14}}}

{{{14=14}}} works