Maligayang pagdating sa Imhr.ca, kung saan maaari kang makakuha ng mga sagot mula sa mga eksperto. Kumuha ng detalyado at eksaktong mga sagot sa iyong mga tanong mula sa isang komunidad ng mga eksperto sa aming Q&A platform. Tuklasin ang komprehensibong mga solusyon sa iyong mga tanong mula sa isang malawak na hanay ng mga propesyonal sa aming madaling gamitin na platform.

How do I solve this? Can I please get a step by step? Answer should be =1 according to reviewer. Thanks!

How Do I Solve This Can I Please Get A Step By Step Answer Should Be 1 According To Reviewer Thanks class=

Sagot :

[tex]1. \(-4x + 2y = -3\)[/tex]

[tex]2. \(x - 5y = 2\)[/tex]

Step 1: Solve for one variable in terms of the other using Equation 2

[tex]\[ x - 5y = 2 \][/tex]

Solve for \( x \):

[tex]\[ x = 2 + 5y \][/tex]

Step 2: Substitute \(x\) into Equation 1

Now substitute \( x = 2 + 5y \) into Equation 1:

[tex]\[ -4(2 + 5y) + 2y = -3 \][/tex]

Step 3: Simplify and solve for \( y \)

[tex]\[ -8 - 20y + 2y = -3 \][/tex]

Combine like terms:

[tex]\[ -8 - 18y = -3 \][/tex]

Add 8 to both sides:

[tex]\[ -18y = 5 \][/tex]

Divide by -18:

[tex]\[ y = \frac{5}{-18} \][/tex]

[tex]\[ y = -\frac{5}{18} \][/tex]

Step 4: Substitute \(y\) back into the expression for \(x\)

Substitute \( y = -\frac{5}{18} \) back into the equation \( x = 2 + 5y \):

[tex]\[ x = 2 + 5\left(-\frac{5}{18}\right) \][/tex]

[tex]\[ x = 2 - \frac{25}{18} \][/tex]

Express 2 as a fraction to combine:

[tex]\[ x = \frac{36}{18} - \frac{25}{18} \][/tex]

[tex]\[ x = \frac{11}{18} \][/tex]

Step 5: Calculate \( 3x + 3y \)

We need to find \( 3x + 3y \):

[tex]\[ 3x + 3y = 3 \left( \frac{11}{18} \right) + 3 \left( -\frac{5}{18} \right) \][/tex]

Combine the fractions:

[tex]\[ 3x + 3y = \frac{33}{18} - \frac{15}{18} \][/tex]

[tex]\[ 3x + 3y = \frac{18}{18} \][/tex]

[tex]\[ 3x + 3y = 1 \][/tex]

So, the answer is 1.