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Mathematics 11 Online
payton:

The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 Substitute the value of y in the first equation: Combine like terms: Apply the subtraction property of equality: Apply the division property of equality: 3x + (–4x + 10) = 9 –x + 10 = 9 –x = –1 x = 1 What is the value of y? y =

TheSmartOne:

You know what x is, so plug that value into either equation and solve for y It doesn't matter which equation you use because you'll get the same answer!

payton:

im not sure

TheSmartOne:

Did you figure it out, Payton?

payton:

no

TheSmartOne:

Okay let's do it, it's really easy!! So the question solved the system of equations and got the x value and they said x = 1 So now we find the y value by plugging in x= 1 into either equation

TheSmartOne:

3(1) + y = 9 Or the other equation y = -4(1) + 10 Solve for y!! You'll get the same value both times? Why? Because that x and y value are solutions to both equations

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