Multiple choice

Solve the systems of equations : $x+5y = -2 ; 3x - 4y = -25$

  1. $(-6, 2)$
  2. $(-7, 1)$
  3. $(-5, 2)$
  4. $(4, -1)$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

From x + 5y = -2, x = -2 - 5y. Substitute into 3x - 4y = -25: 3(-2 - 5y) - 4y = -25, -6 - 15y - 4y = -25, -19y = -19, y = 1. Then x = -2 - 5(1) = -7.

AI explanation

Multiply the first equation x + 5y = -2 by 3 to get 3x + 15y = -6. Subtract the second equation (3x - 4y = -25) from this new equation to eliminate x, yielding 19y = 19. Solving for y gives y = 1, and substituting this back into the first equation gives x + 5 = -2, so x = -7. The solution is (-7, 1).

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