Solve the following algebraic expressions by substitution: 1) by + 10z − 9 if y=2 and z=4. 2) 3x + 4y − 5 use…

Question

Solve the following algebraic expressions by substitution: 1) by + 10z − 9 if y=2 and z=4. 2) 3x + 4y − 5 use x=4, y=3. 3) 5(4a − 2b) − 8 when a=3, b=7.

ScanSolve AI Tutor · Accepted Answer

Here are the solutions to the substitution problems.

1) Solve $by + 10z - 9$ if $y=2$ and $z=4$ .

Substitute the given values of $y$ and $z$ into the expression.
$b(2) + 10(4) - 9$
Perform the multiplications.
$2b + 40 - 9$
Perform the subtraction.
Since the value of $b$ is not provided, the expression cannot be simplified to a single numerical value.
$2b + 31$
The final answer is $\boxed{\text{2b + 31}}$

2) Solve $3x + 4y - 5$ use $x=4, y=3$ .
Substitute the given values of $x$ and $y$ into the expression.
$3(4) + 4(3) - 5$
Perform the multiplications and then the additions and subtractions.
$12 + 12 - 5$ $24 - 5$ $19$
The final answer is $\boxed{\text{19}}$

3) Solve $5(4a - 2b) - 8$ when $a=3, b=7$ .
Substitute the given values of $a$ and $b$ into the expression.
$5(4(3) - 2(7)) - 8$
Perform the multiplications inside the parentheses.
$5(12 - 14) - 8$
Perform the subtraction inside the parentheses.
$5(-2) - 8$
Perform the multiplication and then the subtraction.
$-10 - 8$ $-18$
The final answer is $\boxed{\text{-18}}$

Solve the following algebraic expressions by substitution: 1) by + 10z - 9 if y=2 and z=4. 2) 3x + 4y - 5 use x=4, y=3. 3) 5(4a - 2b) - 8 when a=3, b=7.

Step-by-step solution

Substitute the given values of $y$ and $z$ into the expression.

Perform the multiplications.

Perform the subtraction.

Substitute the given values of $x$ and $y$ into the expression.

Perform the multiplications and then the additions and subtractions.

Substitute the given values of $a$ and $b$ into the expression.

Perform the multiplications inside the parentheses.

Perform the subtraction inside the parentheses.

Perform the multiplication and then the subtraction.

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