Answer:
a=2, z= 4.75, m=4, k=3
Step-by-step explanation:
In Matrix Addition, each element in corresponding position is added.
In Matrix Equality, elements in the same position are equal.
Applying these two principles
a+7+12a=33
13a=33-7
13a=26
a=2
2z+1+6z=39
8z=39-1
8z=38
z= 4.75
3m+5m=32
8m=32
m=4
6k+7k=39
13k=39
k=3
Therefore:
a=2, z= 4.75, m=4, k=3
To solve linear equations, we must perform inverse operations on both sides of the equal sign to <em>cancel values out</em>.
We perform inverse operations to<em> combine like terms</em>. This means to get x to one side and everything else on the other.
<h2>Solving the Questions</h2><h3>Question 1</h3>Because 7 is being added to x, subtract it from both sides:
Because x is being multiplied by 5, divide both sides by 5:
Therefore. .
Here, we can group all the x values on the left side of the equation. Subtract 5x from both sides:
To isolate x, subtract 4 from both sides:
Divide both sides by 2:
Therefore, .