how many solutions does x + 2y=3 4x + 8y =15 have
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Step-by-step explanation:
Step 1) Solve the first equation for #x#:Step 1) Solve the first equation for #x#:
#x - 2y = 3#
#x - 2y + color(red)(2y) = 3 + color(red)(2y)#
#x - 0 = 3 + 2y#
#x = 3 + 2y#
Step 2) Substitute #(3 + 2y)# for #x# in the second equation and solve for #y#:
#4x - 8y = 12# becomes:
#4(3 + 2y) - 8y = 12#
#(4 * 3) + (4 * 2y) - 8y = 12#
#12 + 8y - 8y = 12#
#12 + 0 = 12#
#12 = 12#
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