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4. Solve the system using the SUBSTITUTION METHOD.
a. 2x + 3y = 5
X+y=2

b. 2x - y = 4
10x - 5y = 3​


Sagot :

Answer:

[tex]a. \\ 2x + 3y = 5 \\ x + y = 2 - - - \: y = 2 - x \\ 2x + 3(2 - x) = 5 \\ 2x + 6 - 3x = 5 \\ - x = - 1 \\ x = 1 \\ \\ y = 2 - x \\ y = 2 - 1 \\ 1[/tex]

solution (1, 1)

b.

[tex]2x - y = 4 - - - > y = 2x - 4 \\ 10 x - 5y = 3 \\ 10x - 5(2x - 4) = 3 \\ 10x - 10x + 20 = 3 \\ 0x = - 17[/tex]

no solution

equations are parallel.