Question

5. Solve each equation by systematic trial.

Answer 1

Answer:

a) x = 260

b) g = 218

c) z = 30

d) h = 5

Step-by-step explanation:

a) $x-68=192$

Predict a number; let's say x = 225

$225-68=192\\157=192$

Too low; try with a higher number; let's say x = 270

$270-68=192\\202=192$

Too high, we're closer.

x = 260

$260-68=192\\192=192$

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b) $g+33=251$

let's say g = 230

$230+33=251\\263=251$

Too high. Try g = 221

$221+33=251\\254=251$

We're almost there. Let's try with g = 218

$218+33=251\\251=251$

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c) $3z-16=74$

Let's try with z = 15

$3(15)-16=74\\45-16=74\\29=74$

Too low; try a higher number. z = 30

$3(30)-16=74\\90-16=74\\74=74$

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d) $15h+9=84$

Let's try with h = 6

$15(6)+9=84\\90+9=84\\99=84$

Too high; let's try with h = 5

$15(5)+9=84\\75+9=84\\84=84$