How do you solve the system of equations #8x+4y=13# and #2x=y+4#?
See the entire solution process below:
This means the two lines defined by these equations are parallel and are not the same line.
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To solve the system of equations:
 Solve one equation for one variable.
 Substitute the expression obtained in step 1 into the other equation.
 Solve the resulting equation for the variable.
 Substitute the value found in step 3 into one of the original equations to find the value of the other variable.
 Verify the solution by checking that it satisfies both original equations.
Given the system:
 8x + 4y = 13
 2x = y + 4
From equation 2, solve for y: y = 2x  4
Substitute y = 2x  4 into equation 1: 8x + 4(2x  4) = 13
Solve for x: 8x  8x  16 = 13 16 = 13
This equation is inconsistent, indicating that the system has no solution.
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To solve the system of equations (8x + 4y = 13) and (2x = y + 4), you can use the substitution method or the elimination method. Let's use the substitution method:

Solve the second equation for one variable (let's solve for (y)): [ 2x = y + 4 \implies y = 2x  4 ]

Substitute (y = 2x  4) into the first equation: [ 8x + 4(2x  4) = 13 ]

Simplify and solve for (x): [ 8x  8x  16 = 13 \implies 16 = 13 ] The equation is inconsistent, meaning there's no solution. Therefore, the system of equations has no solution.
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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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