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To answer this, I'll use an example:
Say you're equations are both in slope-intercept form:
y = 3x + 5
y = x + 7
You substitute one equation into another (since y = y, you can set it up in the same equation).
x + 7 = 3x + 5
Subtract variables.
7 = 2x +5
Subtract numbers.
2 = 2x
Divide.
1 = x
You could also have a problem with one or two standard form equations. First, make sure you have at least one slope-intercept equation. Here's an example:
3x - 2y = 20
y = x + 15
Substitute the slope-intercept equation into y (because y = y).
3x - 2(x + 15) = 20
Distribute.
3x- 2x - 30 = 20
Like terms!
x - 30 = 20
Add 30 to both sides.
x = 50
For both equations, you can substitute your solution into one of the equations to find the other variable.
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Linear transformations can be very important in graphics. Also, linear transformations come up whenever you need to solve systems of linear equations, which arise quite often. Finally, they can be useful in further areas of mathematics such as topology.
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What is the use of gaussian elimination in education world situations?
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What are the applications of linear transformations?
Linear transformations can be very important in graphics. Also, linear transformations come up whenever you need to solve systems of linear equations, which arise quite often. Finally, they can be useful in further areas of mathematics such as topology.
Solve linear equations with complex coefficients on both sides?
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