Solve
and
and hence find the value of ‘m’ for which
.
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Solve the following pair of linear equations by the substitution method.
Draw the graphs of the equations x-y+1=0 and 3x+2y-12=0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
Given the linear equation (2x+3y-8=0), write another linear equation in two variables such that the geometrical representation of the pair so formed is:
Half the perimeter of a rectangle garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.