Answer:
y = 5, x = 3
Step-by-step explanation:
[tex]y=2x-1[/tex]
[tex]4x+3y=27[/tex]
Substitute [tex]y=2x-1[/tex]
[tex][4x+3(2x-1)=27][/tex]
Isolate x for [tex]4x+3(2x-1)=27[/tex]
[tex]4x+3(2x-1)=27[/tex]
Expand [tex]3(2x-1)[/tex]
Apply the distributive law: [tex]a(b-c)=ab-ac[/tex]
[tex]a=3,b=2x,c=1[/tex]
[tex]=3*2x-3*1[/tex]
Simplify [tex]3*2x-3*1[/tex]
Multiply the numbers: [tex]3*2=6[/tex]
[tex]=6x-3*1[/tex]
Multiply the numbers: [tex]3*1=3[/tex]
[tex]=6x-3[/tex]
[tex]4x+6x-3=27[/tex]
Add similar elements: [tex]4x+6x=10x[/tex]
[tex]10x-3=27[/tex]
Add 3 to both sides
[tex]10x-3+3=27+3[/tex]
Simplify
[tex]10x=30[/tex]
Divide both sides by 10
[tex]\frac{10x}{10} =\frac{30}{10}[/tex]
Simplify
[tex]x=3[/tex]
For [tex]y=2x-1[/tex]
Substitute [tex]x=3[/tex]
[tex]y=2*3-1[/tex]
[tex]2*3-1[/tex]
Multiply the numbers: [tex]2*3=6[/tex]
[tex]=6-1[/tex]
Subtract the numbers: [tex]6-1=5[/tex]
[tex]=5[/tex]
[tex]y=5[/tex]
