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

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) (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 describes a sloping line. For any
equation ax+by+c = 0, slope is .

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.

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

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