Find the value of the variable and GH if H is between G and I. GI = 5b + 2, HI = 4b – 5, HI = 3 answer options: b = 0.20, GH = –1.20b = 0.67, GH = 5.33b = 2, GH = 9b = 2, GH = 12
Accepted Solution
A:
Answer:b = 2, GH = 9Step-by-step explanation:In this problem we have that[tex]GI=GH+HI[/tex]Solve for GH[tex]GH=GI-HI[/tex] -----> equation Awe have[tex]GI=5b+2[/tex] -----> equation B[tex]HI=4b-5[/tex] ------> equation C[tex]HI=3[/tex] -----> equation Dstep 1Substitute equation D in equation C and solve for b[tex]3=4b-5[/tex][tex]4b=3+5[/tex][tex]4b=8[/tex][tex]b=2[/tex]step 2Find the value of GHsubstitute equation B and equation D in equation A[tex]GH=(5b+2)-3[/tex][tex]GH=5b-1[/tex]substitute the value of b[tex]GH=5(2)-1=9[/tex]