What is the solution to the pair of equations? y = 7x − 9 y = 3x − 1
2 answers:
Answer: x = 2
Concept:
There are three general ways to solve systems of equations:
- Elimination: Eliminating a variable by addition or subtraction when all equations have the variable.
- Substitution: Combining two equations when one variable is isolated into one side.
- Graphing: Find the intersection point of equations to get the solution.
Here, we are going to use the method of <u>substitution </u>because [y] is isolated onto the left-hand side.
Solve:
<u>Given information</u>
y = 7x - 9
y = 3x - 1
<u>Combine both equations by substitution</u>
7x - 9 = 3x - 1
<u>Subtract 3x on both sides</u>
7x - 9 - 3x = 3x - 1 - 3x
4x - 9 = -1
<u>Add 9 on both sides</u>
4x - 9 + 9 = -1 + 9
4x = 8
<u>Divide 4 on both sides</u>
4x / 4 = 8 / 4
Hope this helps!! :)
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a = -3
b = -4
c = -4
x = [-(-4) + √(-4)² - 4(-3)(-4)]/2(-3) = <em>2 + √-32/2</em>
x = [-(-4) - √(-4)² - 4(-3)(-4)]/2(-3) =<em> 2 - √-32/2</em>
a = -3
b = -4
c = -4
x = [-(-4) + √(-4)² - 4(-3)(-4)]/2(-3) = <em>2 + √-32/2</em>
x = [-(-4) - √(-4)² - 4(-3)(-4)]/2(-3) =<em> 2 - √-32/2</em>