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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
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?

  1. - 0.5
  2. - 0.25
  3. 0.8
  4. 1.75

hintHint:

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
    • 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
    Multiply second equation by 3
    We will get 4.8 x minus 1.5 y equals negative 3.9
    Now add first equation, we will get
    7.2 x equals negative 3.6
    x equals fraction numerator negative 1 over denominator 2 end fraction
    Therefore, x coordinate is  -0.5.
    Hence, Option A is correct.

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