Question
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2.4 x minus 1.5 y equals 0.3 end cell row cell 1.6 x plus 0.5 y equals negative 1.3 end cell end table](data:image/png;base64,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)
The system of equations above is graphed in the xy -plane. What is the x -coordinate of the intersection point ( x, y) of the system?
- - 0.5
- - 0.25
- 0.8
- 1.75
Hint:
Hint:
- Point of intersection of graph of two linear equation is solution of both equation.
The correct answer is: - 0.5
Explanation:
- We have given two linear equation
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2.4 x minus 1.5 y equals 0.3 end cell row cell 1.6 x plus 0.5 y equals negative 1.3 end cell end table](data:image/png;base64,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)
- We have find the x coordinate of intersection of this system of equation
Step 1 of 1:
The given linear equation is ![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2.4 x minus 1.5 y equals 0.3 end cell row cell 1.6 x plus 0.5 y equals negative 1.3 end cell end table](data:image/png;base64,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)
Multiply second equation by 3
We will get ![4.8 x minus 1.5 y equals negative 3.9](data:image/png;base64,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)
Now add first equation, we will get
![7.2 x equals negative 3.6](data:image/png;base64,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)
![x equals fraction numerator negative 1 over denominator 2 end fraction](data:image/png;base64,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)
Therefore, x coordinate is -0.5.
Hence, Option A is correct.
Related Questions to study
![x minus 2 y equals negative 3](data:image/png;base64,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)
![x plus y equals 21](data:image/png;base64,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)
According to the system of equations above, what is the value of X ?
Note:
Here we find the value of y from equation (1) and use it in equation (2).
We could do it the other way and receive the same answer, that is, if we find the value of y from equation (2) and use it in equation (1) to find x, we get the same value of x as found in the solution above.
Students are encouraged to try this method too.
![x minus 2 y equals negative 3](data:image/png;base64,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)
![x plus y equals 21](data:image/png;base64,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)
According to the system of equations above, what is the value of X ?
Note:
Here we find the value of y from equation (1) and use it in equation (2).
We could do it the other way and receive the same answer, that is, if we find the value of y from equation (2) and use it in equation (1) to find x, we get the same value of x as found in the solution above.
Students are encouraged to try this method too.