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do a and b have the same value in the equations 2(a-1.1)=5.8 and 5/2b-2 3/4=7 1/4

Sagot :

mhanifa

Answer:

  • Yes

Step-by-step explanation:

Solve each equation and compare the solutions

1.

  • 2(a - 1.1) = 5.8
  • a - 1.1 = 5.8/2
  • a - 1.1 = 2.9
  • a = 2.9 + 1.1
  • a = 4

2.

  • (5/2)b - 2 3/4 = 7 1/4
  • 2.5b = 7 1/4 + 2 3/4
  • 2.5b = 10
  • b = 10/2.5
  • b = 4

Both a and b have same value

semsee45

Answer:

Yes, a and b have the same value in the given equations.

Step-by-step explanation:

Equation 1

      [tex]2(a-1.1)=5.8[/tex]

[tex]\implies 2a-2.2=5.8[/tex]

[tex]\implies 2a-2.2+2.2=5.8+2.2[/tex]

[tex]\implies 2a=8[/tex]

[tex]\implies \dfrac{2a}{2}=\dfrac{8}{2}[/tex]

[tex]\implies a=4[/tex]

Equation 2

    [tex]\dfrac{5}{2}b-2\frac{3}{4}=7 \frac{1}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{2 \times 4+3}{4}=\dfrac{7 \times 4+1}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{11}{4}=\dfrac{29}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{11}{4}+\dfrac{11}{4}=\dfrac{29}{4}+\dfrac{11}{4}[/tex]

[tex]\implies \dfrac{5}{2}b=\dfrac{40}{4}[/tex]

[tex]\implies \dfrac{5}{2}b=10[/tex]

[tex]\implies 2 \cdot \dfrac{5}{2}b=2 \cdot 10[/tex]

[tex]\implies 5b=20[/tex]

[tex]\implies \dfrac{5b}{5}=\dfrac{20}{5}[/tex]

[tex]\implies b=4[/tex]

Conclusion

As  a = 4  and  b = 4, the two variables have the same value in the given equations.

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