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Solve the system of equations below using a method of your choosing.
y=4x-22
2x+3y=4
What is the solution to the system

Sagot :

Answer:

([tex]\frac{13}{7}[/tex], [tex]-\frac{102}{7}[/tex])

Step-by-step explanation:

solving via substitution

y=4x–22; 2x+3y=4

2x + 3(4x – 22) = 4

2x + 12x – 22 = 4

14x – 22 = 4

14x = 26

x = [tex]\frac{13}{7}[/tex]

y = 4([tex]\frac{13}{7}[/tex]) - 22

y = [tex]\frac{52}{7\\}[/tex]- 22

y = [tex]-\frac{102}{7}[/tex]

([tex]\frac{13}{7}[/tex], [tex]-\frac{102}{7}[/tex])