The Star television costs $750 more than the Jupiter television. The two models cost $2,600 all together. Sandra writes an equation to find the cost of the two models. If c represents the cost of the Jupiter television, which of the following would be true when verifying the solution of the equation? Check all that apply.

Sandra substitutes c=925 into the equation c-(c+750)

=2600

Sandra substitutes c=925 into the equation c+(c-750)=2600

Sandra finds a true statement after substituting 925 into the equation.

Sandra finds a false statement after substituting 925 into the equation.

When Sandra evaluates the equation with c = 925, she subtracts 750 from 925. Then, she adds that sum to 925. She finds that the value is not equal to 2,600.

When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.

Verified Answer :

Answer:

  • Sandra finds a true statement after substituting 925 into the equation.
  • When Sandra evaluates the equation with c = 925, she subtracts 750 from 925. Then, she adds that sum to 925. She finds that the value is not equal to 2,600.
  • When Sandra evaluates the equation with c = 925, she adds 925 to 750. Then, she adds that sum to 925. She finds that the value is 2,600.

Step-by-step explanation:

We have that the Star television costs $750 more than the Jupiter television.

If c represents the cost of the Jupiter television, then the star television is @@MATH_TOKEN_0@@

This implies that:

@@MATH_TOKEN_1@@---->eqn1

The two models cost $2,600 all together. This means that:

\(s+c=2600\)---->eqn2

Subtracting eqn1 from eqn2 gives:

\(2c=1850\\\implies c=925\)

When Sandra substitutes c=925 into the equation she gets c+(c-750)=2600

This is not  a true statement, because she must rather get:

Then the cost of the Jupiter television becomes

925 +750=1675