Solve the following pair of linear equations | vedclass

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Question

(D) Given equations are:$1) y = 2$$2) x + 4y = 10$Step $1$: The first equation $y = 2$ represents a horizontal line passing through all points where t

Vedclass · Accepted Answer

$(2, 2)$

Vedclass · Answer

(D) Given equations are:$1) y = 2$$2) x + 4y = 10$Step $1$: The first equation $y = 2$ represents a horizontal line passing through all points where the $y$-coordinate is $2$.Step $2$: For the second equation $x + 4y = 10$,substitute $y = 2$ into the equation:$x + 4(2) = 10$$x + 8 = 10$$x = 10 - 8$$x = 2$Step $3$: The point of intersection of the two lines is $(2, 2)$.Graphically,the line $y = 2$ is a horizontal line,and $x + 4y = 10$ is a line passing through $(10, 0)$ and $(2, 2)$. Both lines intersect at the point $(2, 2)$.

Solve the following pair of linear equations in two variables using a graph: $y = 2$,$x + 4y = 10$.

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