Respuesta :

Answer:

y=8

Step-by-step explanation:

see the attached figure to better understand the problem

we have that

FH=FG+GH

FG=GH

step 1

Find the value of x

FG=GH

substitute the given values

4x+3=7x-12

solve for x

[tex]7x-4x=12+3\\3x=15\\x=5[/tex]

step 2

Find the value of y

FH=FG+GH

substitute the values

[tex]6y-2=(4x+3)+(7x-12)6y-2=(4(5)+3)+(7(5)-12)6y-2=23+23\\6y-2=46\\6y=46+2\\6y=48\\y=8[/tex]

Ver imagen calculista