Answer :

GinnyAnswer
Sure, let's solve the system of linear equations step-by-step:

[tex]\( \left\{ \begin{array}{l} y = 7 - 2x \quad \quad \quad \quad(1)\\ 4x + y = 5 \quad \quad \quad(2) \end{array} \right. \)[/tex]

Step 1: Substitute [tex]\( y \)[/tex] from equation (1) into equation (2).

From equation (1), we know:
[tex]\( y = 7 - 2x \)[/tex]

Now, substitute this expression for [tex]\( y \)[/tex] into equation (2):

[tex]\( 4x + (7 - 2x) = 5 \)[/tex]

Step 2: Simplify and solve for [tex]\( x \)[/tex].

Combine like terms in the equation:
[tex]\( 4x + 7 - 2x = 5 \)[/tex]

Simplify it further:
[tex]\( 2x + 7 = 5 \)[/tex]

Subtract 7 from both sides:
[tex]\( 2x = 5 - 7 \)[/tex]
[tex]\( 2x = -2 \)[/tex]

Divide both sides by 2:
[tex]\( x = -1 \)[/tex]

Step 3: Substitute [tex]\( x = -1 \)[/tex] back into equation (1) to solve for [tex]\( y \)[/tex].

Now that we have the value of [tex]\( x \)[/tex], substitute it back into equation (1):
[tex]\( y = 7 - 2(-1) \)[/tex]

Simplify:
[tex]\( y = 7 + 2 \)[/tex]
[tex]\( y = 9 \)[/tex]

Conclusion:

The solution to the system of linear equations is:
[tex]\[ x = -1, \quad y = 9 \][/tex]

So, the solution in ordered pair form is [tex]\((-1, 9)\)[/tex].

Answer:

x = -1

y= 9

Explanation:

Use substitution to solve this question!

First, substitute y in the second equation:

4x + (7-2x) = 5

Now solve for x

4x + 7 - 2x = 5

2x +7= 5

2x = -2

x = -1

Now you have X! To find y, plug x into the first equation and solve for y:

y = 7- 2(-1)

y = 7+2

y= 9

The solution to the system of equations is

x = -1

y= 9

Check you answer by plugging x and y to the second equation to see if it equals 5!

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