SOLUTION: please help me solve this question; Determine the number of simultaneous solutions of x-2=3 and 4x+8y=10 answers to choose from are one, two, no solution, infinitely many solutions

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Question 67583: please help me solve this question; Determine the number of simultaneous solutions of x-2=3 and 4x+8y=10 answers to choose from are one, two, no solution, infinitely many solutions or none of the above.
Answer by ybalkas(3) About Me  (Show Source):
You can put this solution on YOUR website!
(I)x-2=3 and (II)4x+8y=10
From the first equation x=5
and second equation if you put 5 instead of x , you get 4.5+8y=10
8y=-10
y=-10/8
So the equation has unique solution.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 4+x+%2B+8+y+=+10 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-4%2F8.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 10/4 = 2.5.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 10/8 = 1.25.
  • Slope is -4/8 = -0.5.
  • Equation in slope-intercept form: y=-0.5*x+1.25.
graph%28+500%2C+500%2C+2.5-8%2C+2.5%2B8%2C+1.25-8%2C+1.25%2B8%2C+-0.5%2Ax%2B1.25+%29+

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
this equation defines a vertical line.

  • X intercept: 5. X intercept is the intersection of the line with the x axis.

  • Y intercept: not defined (the line IS vertical)

  • Slope: not defined, can be thought of as infinite

graph%28+500%2C+500%2C+5-5%2C+5%2B5%2C+-10%2C+10%2C+1000000x-1000000%2A5+%29+