Solve the system using elimination. –10x – 3y = –18 –7x – 8y = 11
2 answers:
ANSWER
x=3, y=-4
EXPLANATION
The given system is :
First equation:
Second equation:
Let us multiply the first equation by 7 to get,
Third equation;
Let us multiply the second equation too by 10 to get,
Fourth equation:
Subtract the fourth equation from the third equation:
Divide both sides by 59.
Put y=-4 into the second equation and solve for x.
The solution is x=3, y=-4
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The linear equation in standard form is .
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:
a= the slope. It can be calculated for .
b= the constant term that represents the y-intercept.
The question gives: X-intercept:3 and y-intercept: 5. Then,
- The x-intercept is the point that y=0, then the x-intercept point is (3,0).
- The y-intercept is the point that x=0, then the x-intercept point is (0,5).
With this information, you can find the slope (a).
The question gives the coefficient b since it gives the y-intercept=5.
Therefore the linear equation is : .
Read more about the linear equations here:
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