How do you solve #3x – 2y = 26# and #7x + 3y = 49# using substitution?
Solve by simultaneous equations:
Simplify and solve for y:
Use value of y to subsitute into any of the two original equations and solve for x:
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To solve the system of equations using substitution, follow these steps:
 Solve one of the equations for one variable.
 Substitute the expression obtained in step 1 into the other equation.
 Solve the resulting equation for the remaining variable.
 Substitute the value found in step 3 back into one of the original equations to solve for the other variable.
 Check the solution by substituting the values of both variables into both original equations.
Let's solve the system of equations:

From the first equation, solve for x: 3x  2y = 26 => 3x = 26 + 2y => x = (26 + 2y) / 3

Substitute the expression for x into the second equation: 7x + 3y = 49 => 7((26 + 2y) / 3) + 3y = 49

Solve for y: 7((26 + 2y) / 3) + 3y = 49 => 7(26 + 2y) + 9y = 147 => 182  14y + 9y = 147 => 5y = 35 => y = 7

Substitute y = 7 into one of the original equations. Let's use the first equation: 3x  2(7) = 26 => 3x + 14 = 26 => 3x = 26  14 => 3x = 12 => x = 4

Check the solution by substituting x = 4 and y = 7 into both original equations: For the first equation: 3(4)  2(7) = 26 12 + 14 = 26 (True) For the second equation: 7(4) + 3(7) = 49 28  21 = 49 (True)
Therefore, the solution to the system of equations using substitution method is x = 4 and y = 7.
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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