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Solve the following system of equations:

[tex]\[
\begin{aligned}
&A + A = 30 \\
&B + B = 20 \\
&C + C = 8 \\
&A + B \times C = ?
\end{aligned}
\][/tex]

Sagot :

GinnyAnsweridn
Sure, let's solve the given equations step by step and then find the value of the expression [tex]\( A + B \times C \)[/tex].

1. Solving for [tex]\( A \)[/tex]:
The equation is:
[tex]\[ A + A = 30 \][/tex]
Simplifying this, we get:
[tex]\[ 2A = 30 \][/tex]
Dividing both sides by 2:
[tex]\[ A = \frac{30}{2} = 15.0 \][/tex]

2. Solving for [tex]\( B \)[/tex]:
The equation is:
[tex]\[ B + B = 20 \][/tex]
Simplifying this, we get:
[tex]\[ 2B = 20 \][/tex]
Dividing both sides by 2:
[tex]\[ B = \frac{20}{2} = 10.0 \][/tex]

3. Solving for [tex]\( C \)[/tex]:
The equation is:
[tex]\[ C + C = 8 \][/tex]
Simplifying this, we get:
[tex]\[ 2C = 8 \][/tex]
Dividing both sides by 2:
[tex]\[ C = \frac{8}{2} = 4.0 \][/tex]

4. Calculating the expression [tex]\( A + B \times C \)[/tex]:
Now that we have the values of [tex]\( A \)[/tex], [tex]\( B \)[/tex], and [tex]\( C \)[/tex]:
[tex]\[ A = 15.0, \quad B = 10.0, \quad C = 4.0 \][/tex]
We can substitute these values into the expression [tex]\( A + B \times C \)[/tex]:
[tex]\[ A + B \times C = 15.0 + 10.0 \times 4.0 \][/tex]
First, we calculate [tex]\( B \times C \)[/tex]:
[tex]\[ 10.0 \times 4.0 = 40.0 \][/tex]
Then, we add [tex]\( A \)[/tex]:
[tex]\[ 15.0 + 40.0 = 55.0 \][/tex]

So, the value of [tex]\( A + B \times C \)[/tex] is [tex]\( 55.0 \)[/tex].
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