Question

Type the correct answer in each box.If , then a = , b = , c = , and d =

Answer 1

Step-by-step explanation:

Consider the following matrix equation:

Applying the additive property, this is equation is equivalent to:

`\begin{bmatrix}{a-2} & {b+5} & {} & {} \\ {c\text{ -10}} & {d\text{ +6}} & {} & {} \\ {} & {} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}=\text{ }\begin{bmatrix}{4} & {8} & {} & {} \\ \text{ -}{1} & {0} & {} & {} \\ {} & {} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}`

This is equivalent to the following linear system of equations:

Equation 1:

`a\text{ - 2 = 4}`

Equation 2:

`b+5=8`

Equation 3:

`c\text{ -10= -1}`

Equation 4:

`d\text{ +6=0}`

From equation 1, we get:

`a\text{ = 4+2=6}`

From equation 2, we get:

`b=8\text{ - 5 = 3}`

From equation 3, we get:

`c\text{ = -1+10 = 9}`

From equation 4, we get:

`d\text{ = -6}`

we can conclude that the correct answer is:

Answer:
`a\text{ = 6}`

`b=\text{ 3}`

`c\text{ = 9}`

and

`d\text{ = -6}`