Question

Given the system:

2x – 4y = -34

-3x - y = 2

Solve for the variables that make up the coefficient

matrix:

[a b]

[c d]

a=

b =

c=

d=

Answer 1

To solve the system of equations, substitute the value of y from equation (2) into equation (1) to get x. Then, substitute the value of x into equation (2) to get y. The solutions are x = -3 and y = 7.

Step-by-step explanation:

To solve the system of equations:

2x – 4y = -34 ---(1)

-3x - y = 2 ---(2)

First, let's solve equation (2) for y:

y = -3x - 2

Now substitute this value of y into equation (1):

2x - 4(-3x - 2) = -34

Simplify the equation:

2x + 12x + 8 = -34

Combine like terms:

14x + 8 = -34

Subtract 8 from both sides:

14x = -42

Divide both sides by 14:

x = -3

Now substitute the value of x into equation (2) to solve for y:

-3(-3) - y = 2

Simplify the equation:

9 - y = 2

Subtract 9 from both sides:

-y = -7

Divide both sides by -1:

y = 7

Therefore, the solutions to the system of equations are:

x = -3

y = 7

Answer 2

A= 2 B=-4

C= -3 D= -1

Step-by-step explanation:

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