Use properties to rewrite the given equation. which equations have the same solution as x + + x = – x plus startfraction 2 over 3 endfraction plus x equals startfraction one-half endfraction minus startfraction 1 over 5 endfraction x. x? select three options.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

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